Q. 84.3( 9 Votes )

# If one of the ang

Answer :

Let us draw two intersecting lines, AB and CD.

Let us denote the intersection point of AB and CD as point P.

It is given to us that one of the angles formed by these two intersecting lines, is a right angle, i.e., 90°.

Let us assume CPA is equal to 90°. - - - - (i)

Now, CPD is a straight line and by linear pair axiom,

CPA + APD = 180°

90° + APD = 180° [From equation (i)]

APD = 180° - 90°

APD = 90° - - - - (ii)

Similarly, APB is a straight line and by linear pair axiom,

APD + DPB = 180°

90° + DPB = 180°

DPB = 180° - 90°

DPB = 90° - - - - (iii)

In the same way, CPA + BPC = 180°

90° + BPC = 180°

BPC = 180° - 90°

BPC = 90° - - - - (iv)

From equations (ii), (iii), and (iv), we find that the rest of the three angles are also 90° each.

Thus, all the four angles are 90° each.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Parallel Lines and Transversal Lines22 mins  Pair of Angles29 mins  Elections- Mechanism and Types48 mins  Constitution - Formation and Objective63 mins  Kinetic and Potential Energy39 mins  Construction-244 mins  Construction-145 mins  Conservation of Energy41 mins  PYQ's Practice -Construction47 mins  Probability-246 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

In the given figuRS Aggarwal & V Aggarwal - Mathematics

In Fig 8.117, RD Sharma - Mathematics

In Fig 8.116, if RD Sharma - Mathematics

In Fig. 8.136, ifRD Sharma - Mathematics

In Fig. 8.142, ifRD Sharma - Mathematics

In Fig. 8.138, ifRD Sharma - Mathematics

In Fig. 8.137, ifRD Sharma - Mathematics

In Fig. 8.131, ifRD Sharma - Mathematics

In Fig 8.121, armRD Sharma - Mathematics

In Fig. 8.139, ifRD Sharma - Mathematics